210 citations · 240 across the 10 of their papers we have counts for
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math.CA2013★ 1 cited
On the zeros of the Macdonald functions
Yuji Hamana, Hiroyuki Matsumoto, Tomoyuki Shirai
We are concerned with the zeros of the Macdonald functions or the modified Bessel functions of the second kind with real index. By using the explicit expressions for the algebraic…
math.PR2013★ 2 cited
Hitting times of Bessel processes, volume of Wiener sausages and zeros of Macdonald functions
Yuji Hamana, Hiroyuki Matsumoto
We derive formulae for some ratios of the Macdonald functions, which are simpler and easier to treat than known formulae. The result gives two applications in probability theory. O…